HOMOMORPHIC FELLER COCYCLES ON A $C^$-ALGEBRA
When a Fock-adapted Feller cocycle on a $C^*$-algebra is regular, completely positive and contractive, it possesses a stochastic generator that is necessarily completely bounded. Necessary and sufficient conditions are given, in the form of a sequence of identities, for a completely bounded map to g...
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| Veröffentlicht in: | Journal of the London Mathematical Society 2003-08, Vol.68 (1), p.255-272 |
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| container_title | Journal of the London Mathematical Society |
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| creator | LINDSAY, J. MARTIN WILLS, STEPHEN J. |
| description | When a Fock-adapted Feller cocycle on a $C^*$-algebra is regular, completely positive and contractive, it possesses a stochastic generator that is necessarily completely bounded. Necessary and sufficient conditions are given, in the form of a sequence of identities, for a completely bounded map to generate a weakly multiplicative cocycle. These are derived from a product formula for iterated quantum stochastic integrals. Under two alternative assumptions, one of which covers all previously considered cases, the first identity in the sequence is shown to imply the rest. |
| doi_str_mv | 10.1112/S0024610703004174 |
| format | Article |
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| ispartof | Journal of the London Mathematical Society, 2003-08, Vol.68 (1), p.255-272 |
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| source | Wiley Online Library Journals Frontfile Complete; Alma/SFX Local Collection |
| subjects | Notes and Papers |
| title | HOMOMORPHIC FELLER COCYCLES ON A $C^$-ALGEBRA |
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